WZW SUPERCONFORMAL BLOCKS FROM 3 DIMENSIONS

A three-dimensional theory whose canonical quantization yields wavefunctions which can be identified with the superconformal blocks of two-dimensional super Wess-Zumino-Witten theory is presented. In particular, the anomalous Ward identities satisfied by the superconformal blocks in the presence of a supergauge background are reproduced in terms of constraints obeyed by the wavefunctions of the three-dimensional theory. The action contains the bosonic Chern-Simons action but does not possess a three-dimensional supersymmetry. The "time" coordinate plays the role of an interpolating parameter between two-dimensional superconnections. The structure of the Hilbert space of the theory is examined.